Abstract
Low temperature expansions for the Gibbs states of weakly interacting transverse Ising-like models are developed, by conditioning the states on a sub-algebra of observables. The conditioned states have effective classical Hamiltonians which are estimated by the solution to a simple implicit equation. Provided the interaction is sufficiently weak but fixed independent of temperature, and the temperature is sufficiently low, exponential clustering of the correlation functions holds.
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Communicated by J. Fröhlich
Work partially supported by NSF-MCS 74-07313-A 03
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Thomas, L.E., Yin, Z. Low temperature expansions for the Gibbs states of weakly interacting quantum Ising lattice systems. Commun.Math. Phys. 91, 405–417 (1983). https://doi.org/10.1007/BF01208782
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DOI: https://doi.org/10.1007/BF01208782